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Finding the Fourth Proportional to 309,050,591,937.60, 463,575,887,906.40 and 309,050,591,937.60

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Solution

The fourth proportional to 309,050,591,937.60, 463,575,887,906.40 and 309,050,591,937.60 is: 463,575,887,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050,591,937.60 : 463,575,887,906.40 = 309,050,591,937.60 : x
  2. Step 2: Convert to fraction form
    309,050,591,937.60/463,575,887,906.40 = 309,050,591,937.60/x
  3. Step 3: Cross multiply
    309,050,591,937.60x = 463,575,887,906.40 × 309,050,591,937.60
  4. Step 4: Simplify right side
    309,050,591,937.60x = 143,268,402,565,471,421,857,792
  5. Step 5: Solve for x
    x = 143,268,402,565,471,421,857,792/309,050,591,937.60
  6. Step 6: Final answer
    x = 463,575,887,906.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.